Finite Math Examples

$25 + x^{4} - 144 = 0$

Step 1

Subtract $144$ from $25$ .

$x^{4} - 119 = 0$

Step 2

Add $119$ to both sides of the equation.

$x^{4} = 119$

Step 3

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt[4]{119}$

Step 4

The complete solution is the result of both the positive and negative portions of the solution.

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Step 4.1

First, use the positive value of the $\pm$ to find the first solution.

$x = \sqrt[4]{119}$

Step 4.2

Next, use the negative value of the $\pm$ to find the second solution.

$x = - \sqrt[4]{119}$

Step 4.3

The complete solution is the result of both the positive and negative portions of the solution.

$x = \sqrt[4]{119}, - \sqrt[4]{119}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt[4]{119}, - \sqrt[4]{119}$

Decimal Form:

$x = 3.30283395 \dots, - 3.30283395 \dots$